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20232026
most citedEffect of Weight Quantization on Learning Models by Typical Case Analysis

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math.ST2026

Finite-Sample Inference for Sparsely Permuted Linear Regression

Hirofumi Ota, Masaaki Imaizumi

We study a linear observation model with an unknown permutation called \textit{permuted/shuffled linear regression}, where responses and covariates are mismatched and the permutati…

math.ST2025

Minimax Rates of Estimation for Optimal Transport Map between Infinite-Dimensional Spaces

Donlapark Ponnoprat, Masaaki Imaizumi

We investigate the estimation of an optimal transport map between probability measures on an infinite-dimensional space and reveal its minimax optimal rate. Optimal transport theor…

math.ST2024

Universality of estimators for high-dimensional linear models with block dependency

Toshiki Tsuda, Masaaki Imaizumi

We study the universality property of estimators for high-dimensional linear models, which implies that the distribution of estimators is independent of whether the covariates foll…

math.ST2024

High-Dimensional Single-Index Models: Link Estimation and Marginal Inference

Kazuma Sawaya, Yoshimasa Uematsu, Masaaki Imaizumi

This study proposes a novel method for estimation and hypothesis testing in high-dimensional single-index models. We address a common scenario where the sample size and the dimensi…

math.ST2023

Bayesian Analysis for Over-parameterized Linear Model via Effective Spectra

Tomoya Wakayama, Masaaki Imaizumi

In high-dimensional Bayesian statistics, various methods have been developed, including prior distributions that induce parameter sparsity to handle many parameters. Yet, these app…